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Simplifying (y + -15)(x + 10) = xy Reorder the terms: (-15 + y)(x + 10) = xy Reorder the terms: (-15 + y)(10 + x) = xy Multiply (-15 + y) * (10 + x) (-15(10 + x) + y(10 + x)) = xy ((10 * -15 + x * -15) + y(10 + x)) = xy ((-150 + -15x) + y(10 + x)) = xy (-150 + -15x + (10 * y + x * y)) = xy Reorder the terms: (-150 + -15x + (xy + 10y)) = xy (-150 + -15x + (xy + 10y)) = xy (-150 + -15x + xy + 10y) = xy Add '-1xy' to each side of the equation. -150 + -15x + xy + -1xy + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -150 + -15x + 0 + 10y = xy + -1xy -150 + -15x + 10y = xy + -1xy Combine like terms: xy + -1xy = 0 -150 + -15x + 10y = 0 Solving -150 + -15x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '150' to each side of the equation. -150 + -15x + 150 + 10y = 0 + 150 Reorder the terms: -150 + 150 + -15x + 10y = 0 + 150 Combine like terms: -150 + 150 = 0 0 + -15x + 10y = 0 + 150 -15x + 10y = 0 + 150 Combine like terms: 0 + 150 = 150 -15x + 10y = 150 Add '-10y' to each side of the equation. -15x + 10y + -10y = 150 + -10y Combine like terms: 10y + -10y = 0 -15x + 0 = 150 + -10y -15x = 150 + -10y Divide each side by '-15'. x = -10 + 0.6666666667y Simplifying x = -10 + 0.6666666667y
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